Dear Readers,
Mahendras has started special quizzes for IBPS PO & Clerk Exam so that you can practice more and more to crack the examination. This IBPS PO & Clerk Exam special quiz series will mold your preparations in the right direction and the regular practice of these quizzes will be really very helpful in scoring good marks in the Examination. Here we are providing you the important question of reasoning ability for the IBPS PO & Clerk Exam Exam.
(1) The ratio between present ages of Shipra and Shweta is 5 : 4. 4 years ago, Shweta's age was 24 years. What will be Shipra's age after 8 years ?
शिप्रा और श्वेता की वर्तमान आयु के बीच का अनुपात क्रमशः 5 : 4 है। 4 वर्ष पूर्व श्वेता की आयु 24 वर्ष थी। 8 वर्ष बाद शिप्रा की आयु क्या होगी ?
(1) 42 years
(2) 43 years
(3) 35 years
(4) 45 years
(5) 25 years
(2) On an amount of Rs.8550, a person gets Rs. 3,591 as simple interest after 3 years. What is the rate of interest?
8550 रू. के मूलधन पर 3 वर्ष में एक व्यक्ति को 3,591 रू. का साधारण ब्याज मिलता है। ब्याज की दर क्या है ?
(1) 12%
(2) 14%
(3) 16%
(4) 18%
(5) 20%
(3) In how many different ways can the letters of the word 'PROJECT' be arranged?
शब्द 'PROJECT' के अक्षरों को कितने विभिन्न तरीके से व्यवस्थित कर सकते हैं ?
(1) 120
(2) 360
(3) 720
(4) 2520
(5) 5040
(4) Out of six numbers 30, x, 53, 68, 50 and 87, x is unknown. The average of these numbers is 60. What is the value of x?
छः संख्याओं 30, x, 53, 68, 50 और 87, में x अज्ञात है। इन संख्याओं का औसत 60 है। 'x' का मान क्या है ?
(1) 72
(2) 64
(3) 78
(4) 60
(5) 65
(5) A 240 metres long train crosses a pole in 12 seconds. What is the speed of the train ? (in km/hr.)
एक 240 मीटर लम्बी रेलगाड़ी एक खम्भे को 12 सेकेण्ड में पार करती है तो रेलगाड़ी की चाल किमी./घं. में क्या है?
(1) 70
(2) 72
(3) 75
(4) 84
(5) 62
Q-(6-10) In each of the following questions, two equations (I) and (II) are given. You have to solve them and give answer.
निम्नलिखित प्रश्नों में दो समीकरण (I) और (II) दिए गए हैं। इन दोनों समीकरणों को हल करके निम्नानुसार उत्तर दीजिए।
(6) (I) 2x2 – 17x + 36 = 0
(II) 15y2 – 16y + 4 = 0
(1) If x > y
(2) If x > y
(3) If x < y
(4) If x < y
(5) If x = y or relationship cannot be established
(7) (I) 7x2 – 41x + 30 = 0
(II) 7y2 – 26y + 24 = 0
(1) If x > y
(2) If x > y
(3) If x < y
(4) If x < y
(5) If x = y or relationship cannot be established
(8) (I) ![](data:image/png;base64,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)
(II) ![](data:image/png;base64,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)
(1) If x > y
(2) If x > y
(3) If x < y
(4) If x < y
(5) If x = y or relationship cannot be established
(9) (I)![](data:image/png;base64,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)
(II)![](data:image/png;base64,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)
(1) If x > y
(2) If x > y
(3) If x < y
(4) If x < y
(5) If x = y or relationship cannot be established
(10) (I) (8x2 + 21) – (6x2 + 23) = 0
(II) (7y2 – 14) – (10y2 – 17) = 0
(1) If x > y
(2) If x > y
(3) If x < y
(4) If x < y
(5) If x = y or relationship cannot be established
Answer Key-
Q-(1) Sol-(2)
Present age of Shweta = 24 + 4 = 28 years
After 5 years Renu's age = 7 × 5 + 8 = 43 years
Q-(2) Sol-(2)
Q-(3) Sol-(5)
Total ways = 7 !
= 5040
Q-(4) Sol-(1)
288 + x = 360
x = 72
Q-(5) Sol-(2)
Q-(6) Sol-(1)
x = 4, 4.5, y = 0.66, 0.4
Q-(7) Sol-(5)
x = 5, 0.85, y = 2, 1.714
Q-(8) Sol-(1)
x = 88, y = 81
Q-(9) Sol-(3)
x = 11, y = 81
Q-(10) Sol-(5)
x = + 1, y = + 1
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